半局部E-凸性下分式多目标规划的最优性条件与对偶

数学季刊 ›› 2009, Vol. 24 ›› Issue (2): 200-210.

半局部E-凸性下分式多目标规划的最优性条件与对偶

1. Department of Information, Hunan Business College2. College of Math-ematics and Information Science, Henan University

收稿日期:2006-08-30 出版日期:2009-06-30 发布日期:2023-07-04
作者简介: HU Qing-jie(1973-), male, native of Changde, Hunan, an associate professor of Hunan Business College, Ph.D., engages in nonlinear programming and symmetric cone programming; XIAO Yun-hai(1978-),male, native of Puyang, Henan, an associate professor of Henan University, Ph.D., engages in nonlinear programming; CHEN Nei-ping(1962-), female, native of Changsha, Hunan, a professor of Hunan Business College, M.S.D., engages in stochastic process.
基金资助:
Supported by Hunan Provincial Natural Science Foundation of China(05JJ40103)； Supported by Soft Science Research Fund of Hunan Province(2006ZK3028)； Supported by Scientific Research Fund of Hunan Provincial Education Department(105B0707, 08C470)；

Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity

1. Department of Information, Hunan Business College2. College of Math-ematics and Information Science, Henan University

Received:2006-08-30 Online:2009-06-30 Published:2023-07-04
About author: HU Qing-jie(1973-), male, native of Changde, Hunan, an associate professor of Hunan Business College, Ph.D., engages in nonlinear programming and symmetric cone programming; XIAO Yun-hai(1978-),male, native of Puyang, Henan, an associate professor of Henan University, Ph.D., engages in nonlinear programming; CHEN Nei-ping(1962-), female, native of Changsha, Hunan, a professor of Hunan Business College, M.S.D., engages in stochastic process.
Supported by:
Supported by Hunan Provincial Natural Science Foundation of China(05JJ40103)； Supported by Soft Science Research Fund of Hunan Province(2006ZK3028)； Supported by Scientific Research Fund of Hunan Provincial Education Department(105B0707, 08C470)；

摘要/Abstract

摘要： In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal Econvex and related functions. Also, some dual results are established under this kind of generalized convex functions. Our results generalize the ones obtained by Preda[J Math Anal Appl, 288(2003) 365–382].

关键词: semilocal E-convex functions, fractional multiple objective programming, optimality conditions, duality

Abstract: In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal Econvex and related functions. Also, some dual results are established under this kind of generalized convex functions. Our results generalize the ones obtained by Preda[J Math Anal Appl, 288(2003) 365–382].

Key words: semilocal E-convex functions, fractional multiple objective programming, optimality conditions, duality

中图分类号:

O221.6

胡清洁, 肖运海, 陈内萍.

半局部E-凸性下分式多目标规划的最优性条件与对偶

[J]. 数学季刊, 2009, 24(2): 200-210.

HU Qing-jie, XIAO Yun-hai, CHEN Nei-ping. Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 200-210.

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